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Finding the Fourth Proportional to 510.36, 704.54 and 399.64

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Solution

The fourth proportional to 510.36, 704.54 and 399.64 is: 551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 704.54 = 399.64 : x
  2. Step 2: Convert to fraction form
    510.36/704.54 = 399.64/x
  3. Step 3: Cross multiply
    510.36x = 704.54 × 399.64
  4. Step 4: Simplify right side
    510.36x = 281,562.37
  5. Step 5: Solve for x
    x = 281,562.37/510.36
  6. Step 6: Final answer
    x = 551.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.